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Finding the Fourth Proportional to 9,609.56, 14,395.64 and 5,436.94

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Solution

The fourth proportional to 9,609.56, 14,395.64 and 5,436.94 is: 8,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.56 : 14,395.64 = 5,436.94 : x
  2. Step 2: Convert to fraction form
    9,609.56/14,395.64 = 5,436.94/x
  3. Step 3: Cross multiply
    9,609.56x = 14,395.64 × 5,436.94
  4. Step 4: Simplify right side
    9,609.56x = 78,268,230.94
  5. Step 5: Solve for x
    x = 78,268,230.94/9,609.56
  6. Step 6: Final answer
    x = 8,144.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.